Find the ratio in which the point (-3, k) divides the join of A(-5, -4) and B(-2, 3).

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Find the magnitude of two vectors 𝒂 ⃗ and 𝒃 ⃗, having the same magnitude and such that the angle....

If 𝜽 is the angle between two vectors 𝒊 ̂−𝟐𝒋 ̂+𝟑𝒌 ̂ and 𝟑𝒊 ̂−𝟐𝒋 ̂+𝒌 ̂, 𝐬𝐢𝐧⁡𝜽.

Find the angle between two vectors a ⃗ and b ⃗ with magnitudes √3 and 2, respectively having....Q183

Write the projection of the vector i ̂+j ̂+k ̂ along the vector j........Q211

Given that 𝒂 ⃗ ⋅ 𝒃 ⃗ = 0 and 𝒂 ⃗ × 𝒃 ⃗ = 𝟎 ⃗. What can you conclude about the vectors 𝒂 ⃗ and 𝒃 ⃗ ?

Find |𝒂 ⃗×𝒃 ⃗ |, if 𝒂 ⃗=𝒊 ̂+𝟐𝒋 ̂−𝒌 ̂,𝒃 ⃗=𝟑𝒊 ̂+𝒋 ̂−𝒌 ̂

Show that each of the given three vectors is a unit vector: 𝟏/𝟕 (𝟐𝒊 ̂+𝟑𝒋 ̂+𝟔𝒌 ̂ ), 𝟏/𝟕 (𝟑𝒊 ̂−.......

Find 𝝀, if (𝟐𝒊 ̂+𝟔𝒋 ̂+𝟏𝟒𝒌 ̂ )×(𝒊 ̂−𝝀𝒋 ̂+𝟕𝒌 ̂ )=𝟎